47761328 has 20 divisors (see below), whose sum is σ = 95523648. Its totient is φ = 23110080.

The previous prime is 47761309. The next prime is 47761331. The reversal of 47761328 is 82316774.

47761328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

47761328 is an admirable number.

It is a super-2 number, since 2×47761328² = 4562288904647168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47761291 and 47761300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47651 + ... + 48642.

Almost surely, 2^47761328 is an apocalyptic number.

It is an amenable number.

47761328 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47761328 is a wasteful number, since it uses less digits than its factorization.

47761328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96332 (or 96326 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 47761328 is about 6910.9570972478. The cubic root of 47761328 is about 362.8207621426.

The spelling of 47761328 in words is "forty-seven million, seven hundred sixty-one thousand, three hundred twenty-eight".